Solving 2 Step Equations - Solve and Match Worksheet

- Year groups
- Secondary and Sixth Form, Years 10–13
- File type
- Preparation
- Print ready
- Subject
- Algebra, Maths
- Topic
- Algebra, Two-Step Equations
- Resource types
- Worksheets, Worksheets & Printables
- Preparation
- Print ready
- England expectations
- Key Stage 3 · Algebra
From the author
About this resource
This Two-Step Equations - Solve + Match Worksheet allows students to practice solving two-step equations. There are twenty-one problems in total. Some problems have the variable on the left side, some have the variable on the right side. Some problems involve fractions, some do not.
Once students solve an equation, they need to find their answer in the answer bank provided and match the answer letter with the problem number.
Solve & Match worksheets help students build confidence in their skills when they are able to find their answer in the answer bank! It also alleviates students constantly asking the teacher if their answer is correct.
This worksheet is suitable for students who are just learning how to solve two-step equations, or for students who need a review of two-step equations before moving on to multi-step equations. It works great as an in-class assignment or as a homework assignment!
Other Skills Offered As Solve & Match Worksheets here:
-Calculating Slope
-Exponential Equations with a Common Base
-Exponential Equations without a Common Base
-Factoring by Grouping
-Factoring Out a GCF
-Factoring Polynomials
-Factoring Trinomials (a is greater than 1)
-Factoring Trinomials (a is equal to 1)
-Laws of Exponents (Positive and Negative)
-Laws of Exponents (Positive Only)
-Solving Logarithmic Equations
-Solving Polynomial Equations
-Solving Quadratic Equations
-Solving Radical Equations
-Solving Rational Equations
-Simplifying Expressions
-Solving Linear Equations
-Solving Two-Step Equations
In the classroom
Teaching tips & learning objectives
Learning objectives
Students solve two-step linear equations involving addition, subtraction, multiplication, and division.
Students solve equations with the variable in a denominator or as part of a fraction.
Students verify their solved value by matching it to a unique letter in a provided answer code.
Teaching tips
Have students work in the order given, since each problem's answer maps to a unique letter — an early arithmetic error will produce a letter collision they can use to self-correct.
Use the fraction/denominator problems (items 10-21) as a follow-up set after students are comfortable with the simpler two-step equations (items 1-9).
Have students show their work in the space beneath each problem so mismatched letters can be traced back to a specific step.
Skills covered
Two-step equation solving — students isolate a variable across equations combining addition/subtraction with multiplication/division.
Equations with fractional expressions — students solve for a variable appearing in a numerator or denominator of a fraction.
Self-checking via answer matching — students verify their solution by confirming it matches a unique letter in the provided code, since each letter is used only once.
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National Curriculum in England
National Curriculum in England expectations
England expectations
- Key Stage 3 · Algebra — England Key Stage 3 Mathematics: use algebraic methods to solve linear equations in 1 variable (including all forms that require rearrangement).
Core concepts
Two-step equations
Solving for a variable
Fractions in equations
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